Answer: 3(p + 5) + 4(p + -2) = 4(p + 6)
Reorder the terms:
3(5 + p) + 4(p + -2) = 4(p + 6)
(5 * 3 + p * 3) + 4(p + -2) = 4(p + 6)
(15 + 3p) + 4(p + -2) = 4(p + 6)
Reorder the terms:
15 + 3p + 4(-2 + p) = 4(p + 6)
15 + 3p + (-2 * 4 + p * 4) = 4(p + 6)
15 + 3p + (-8 + 4p) = 4(p + 6)
Reorder the terms:
15 + -8 + 3p + 4p = 4(p + 6)
Combine like terms: 15 + -8 = 7
7 + 3p + 4p = 4(p + 6)
Combine like terms: 3p + 4p = 7p
7 + 7p = 4(p + 6)
Reorder the terms:
7 + 7p = 4(6 + p)
7 + 7p = (6 * 4 + p * 4)
7 + 7p = (24 + 4p)
Solving
7 + 7p = 24 + 4p
Solving for variable 'p'.
Move all terms containing p to the left, all other terms to the right.
Add '-4p' to each side of the equation.
7 + 7p + -4p = 24 + 4p + -4p
Combine like terms: 7p + -4p = 3p
7 + 3p = 24 + 4p + -4p
Combine like terms: 4p + -4p = 0
7 + 3p = 24 + 0
7 + 3p = 24
Add '-7' to each side of the equation.
7 + -7 + 3p = 24 + -7
Combine like terms: 7 + -7 = 0
0 + 3p = 24 + -7
3p = 24 + -7
Combine like terms: 24 + -7 = 17
3p = 17
Divide each side by '3'.
p = 5.666666667
Simplifying
p = 5.666666667
HOPE THIS HELPS
